Use proof by contradiction to show that for all real values of xxx,
(x−6)2≥2x−46 (x - 6)^2 \geq 2x - 46 (x−6)2≥2x−46Show that the following statement is untrue:
"2n+2n−12^n + 2n - 12n+2n−1 is a prime number for all values of n∈Z+n \in \mathbb{Z}^{+}n∈Z+."
Practise AQA A Level Maths 1.4 A: Proof with exam-style questions for A Level Maths. 107 questions covering 1.4.1 Structure and methods of proof, matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
